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On Class Number Divisibility of Number Fields and Points on Elliptic Curves

In: Class Groups of Number Fields and Related Topics

Author

Listed:
  • Debopam Chakraborty

    (BITS-Pilani, Department of Mathematics)

Abstract

The class group of a number field K measures how far its ring of integers is from having unique factorization into irreducible elements. It is the quotient of the group of all fractional ideals of K by the subgroups of principal fractional ideals. It is well known from class field theory that the ideal class group is also the Galois group of the maximal unramified abelian extension of K.

Suggested Citation

  • Debopam Chakraborty, 2020. "On Class Number Divisibility of Number Fields and Points on Elliptic Curves," Springer Books, in: Kalyan Chakraborty & Azizul Hoque & Prem Prakash Pandey (ed.), Class Groups of Number Fields and Related Topics, pages 109-112, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-1514-9_10
    DOI: 10.1007/978-981-15-1514-9_10
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